TM Geometiles Building Ideas Patent Pending GeometilesTM is a product of TM www.geometiles.com Welcome to GeometilesTM! Here are some ideas of what you can build with your set. You can use them as a springboard for your imagination! Hints and instructions for making selected objects are in the back of this booklet. Platonic Solids CUBE CUBE 6 squares 12 isosceles triangles OCTAHEDRON OCTAHEDRON 8 equilateral triangles 16 scalene triangles 2 Building Ideas © 2015 Imathgination LLC REGULAR TETRAHEDRA 4 equilateral triangles; 8 scalene triangles; 16 equilateral triangles ICOSAHEDRON DODECAHEDRON 20 equilateral triangles 12 pentagons 3 Building Ideas © 2015 Imathgination LLC Selected Archimedean Solids CUBOCTAHEDRON ICOSIDODECAHEDRON 6 squares, 8 equilateral triangles 20 equilateral triangles, 12 pentagons Miscellaneous Solids DOUBLE TETRAHEDRON RHOMBIC PRISM 12 scalene triangles 8 scalene triangles; 4 rectangles 4 Building Ideas © 2015 Imathgination LLC PENTAGONAL ANTIPRISM HEXAGONAL ANTIPRISM 10 equilateral triangles, 2 pentagons. 24 equilateral triangles STELLA OCTANGULA, OR STELLATED OCTAHEDRON 24 equilateral triangles 5 Building Ideas © 2015 Imathgination LLC TRIRECTANGULAR TETRAHEDRON 12 isosceles triangles, 8 scalene triangles SCALENOHEDRON TRAPEZOHEDRON 8 scalene triangles 16 scalene triangles 6 Building Ideas © 2015 Imathgination LLC Playful shapes FLOWER 12 pentagons, 10 squares, 9 rectagles, 6 scalene triangles 7 Building Ideas © 2015 Imathgination LLC GEMSTONE 8 equilateral triangles, 8 rectangles, 4 isosceles triangles, 8 scalene triangles STAR 20 equilateral triangles, 2 pentagons 8 Building Ideas © 2015 Imathgination LLC CASTLE 6 equilateral triangles, 12 rectangles, 12 isosceles triangles, 6 scalene triangles, 4 squares 9 Building Ideas © 2015 Imathgination LLC CUBE WITH WINDOWS A.K.A. TISSUE BOX 24 scalene triangles 10 Building Ideas © 2015 Imathgination LLC Instructions and hints Small Octahedron 1 3 2 Large Octahedron 1 2 3 4 11 Building Ideas © 2015 Imathgination LLC Medium Sized Tetrahedron 1 2 4 3 12 Building Ideas © 2015 Imathgination LLC Icosahedron 1 2 3 4 6 5 13 Building Ideas © 2015 Imathgination LLC Dodecahedron 1 2 3 4 5 6 14 Building Ideas © 2015 Imathgination LLC Cuboctahedron 1 2 4 3 5 15 Building Ideas © 2015 Imathgination LLC Icosidodecahedron 1 2 3 4 5 6 7 16 Building Ideas © 2015 Imathgination LLC Stella Octangula 2 1 X 2 X 2 3 17 Building Ideas © 2015 Imathgination LLC Trirectangular Tetrahedron Bottom face Scalenohedron 2 1 Trapezohedron 2 1 18 Building Ideas © 2015 Imathgination LLC Flower Hint for making leaf for flower: first make the leaf using 4 scalene triangles. Right angle Then make the flower and attach leaf as shown with arrows: Leaf is attached Attach leaf here 19 Building Ideas © 2015 Imathgination LLC Star Attach pyramid last Cube with Windows 1 2 cover with lid 3 20 Building Ideas © 2015 Imathgination LLC .